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Hawaii Math Standards - Pre-Algebra
MathScore aligns to the Hawaii Math Standards for Pre-Algebra. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Hawaii Math Standards at other levels.
Numbers and Operations
Standard 1 NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systemsMA.PA.1.1: Identify situations represented by square roots and cube roots
MA.PA.1.2: Compare and order rational numbers and square roots (Estimating Square Roots )
MA.PA.1.3: Use ratios and proportions to represent the relationship between two quantities (Proportions 1 , Ratios )
Standard 2 OPERATION SENSE: Understand the meaning of operations and how they relate to each other
MA.PA.2.1: Apply the order of operations when calculating with rational numbers (Using Parentheses , Order Of Operations )
MA.PA.2.2: Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots (Estimating Square Roots , Perfect Squares )
Standard 3 COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation
MA.PA.3.1: Add, subtract, multiply, and divide numbers with whole number exponents (Prime Factoring 2 , Exponent Basics , Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions )
MA.PA.3.2: Estimate a reasonable range (i.e., upper and lower limit) for the solution to a problem (Estimating Square Roots )
MA.PA.3.3: Explain that rounding answers in certain real-world situations may lead to major problems
Measurement
Standard 4 FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuringMA.PA.4.1: Select and use appropriate units to measure the surface area and volume of solids
MA.PA.4.2: Express rates of change as a ratio of two different measures, where units are included in the ratio, and use the derived rate to solve problems (Distance, Rate, and Time )
MA.PA.4.3: Use ratios and proportions to solve measurement problems (Solving For Angles , Proportions 2 )
MA.PA.4.4: Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids (Rectangular Solids , Rectangular Solids 2 , Triangular Prisms , Cylinders )
MA.PA.4.5: Use the right triangle relationships (e.g., trigonometric ratios: cosine, sine, and tangent) to solve problems
Geometry and Spatial Sense
Standard 5 PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the propertiesMA.PA.5.1: Apply the Pythagorean theorem to solve problems involving right triangles (Pythagorean Theorem )
MA.PA.5.2: Evaluate conjectures about classes of two- and three-dimensional shapes/objects
Standard 6 TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations
MA.PA.6.1: Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters
MA.PA.6.2: Describe the size, position, and orientation of shapes under transformations and compositions of transformations
MA.PA.6.3: Describe three-dimensional shapes that are formed by rotating two-dimensional figures about an axis
Standard 7 VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics
MA.PA.7.1: Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures
Standard 8 REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry
MA.PA.8.1: Use coordinate geometry to represent transformations in the coordinate plane (Translations and Reflections )
Patterns, Functions, and Algebra
Standard 9 PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationshipsMA.PA.9.1: Represent a variety of patterns (including recursive patterns) with tables, graphs (including graphing technology when available), words, and when possible, symbolic rules (Function Tables , Function Tables 2 )
MA.PA.9.2: Use linear relationships with two variables to solve problems (Age Problems )
MA.PA.9.3: Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations
Standard 10 SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations
MA.PA.10.1: Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities )
MA.PA.10.2: Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models (Single Variable Equations 2 , Single Variable Equations 3 , Single Variable Inequalities )
MA.PA.10.3: Use tables and graphs to represent and compare linear relationships
MA.PA.10.4: Use the slope of a line to describe a constant rate of change (Determining Slope )
Data Analysis, Statistics, and Probability
Standard 11 FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questionsMA.PA.11.1: Design a study that compares two samples, collect data, and select the appropriate representation (double bar graph, back-to-back stem and leaf plot, parallel box and whisker plots, scatter plot) to compare the sets of data
MA.PA.11.2: Judge the validity of data based on the data collection method
Standard 12 STATISTICS: Interpret data using methods of exploratory data analysis
MA.PA.12.1: Recognize situations appropriate for scatter plots
MA.PA.12.2: Analyze different representations of the same data to describe how representations can be used to skew a person's interpretation of the data
Standard 13 DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data
MA.PA.13.1: Make conjectures about possible relationships between two characteristics of a sample based on interpretations of scatter plots
Standard 14 PROBABILITY: Understand and apply basic notions of chance and probability
MA.PA.14.1: Judge the validity of conjectures that are based on experiments or simulations
MA.PA.14.2: Calculate probabilities for simple events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement) (Object Picking Probability )
MA.PA.14.3: Use the Fundamental Counting Principle to calculate combinations and permutations
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